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Finding the Fourth Proportional to 272,098,416,063.40, 407,412,960,056.70 and 272,098,416,063.40

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Solution

The fourth proportional to 272,098,416,063.40, 407,412,960,056.70 and 272,098,416,063.40 is: 407,412,960,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,098,416,063.40 : 407,412,960,056.70 = 272,098,416,063.40 : x
  2. Step 2: Convert to fraction form
    272,098,416,063.40/407,412,960,056.70 = 272,098,416,063.40/x
  3. Step 3: Cross multiply
    272,098,416,063.40x = 407,412,960,056.70 × 272,098,416,063.40
  4. Step 4: Simplify right side
    272,098,416,063.40x = 110,856,421,115,129,323,585,536
  5. Step 5: Solve for x
    x = 110,856,421,115,129,323,585,536/272,098,416,063.40
  6. Step 6: Final answer
    x = 407,412,960,056.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.